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Finding the Fourth Proportional to 3,941.40, 5,917 and 1,751.16

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Solution

The fourth proportional to 3,941.40, 5,917 and 1,751.16 is: 2,628.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.40 : 5,917 = 1,751.16 : x
  2. Step 2: Convert to fraction form
    3,941.40/5,917 = 1,751.16/x
  3. Step 3: Cross multiply
    3,941.40x = 5,917 × 1,751.16
  4. Step 4: Simplify right side
    3,941.40x = 10,361,613.72
  5. Step 5: Solve for x
    x = 10,361,613.72/3,941.40
  6. Step 6: Final answer
    x = 2,628.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.